Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Two Variants of the Reciprocal Super Catalan Matrix

  • Kilic, Emrah (Department of Mathematics, TOBB University of Economics and Technology) ;
  • Omur, Nese (Department of Mathematics, Kocaeli University) ;
  • Koparal, Sibel (Department of Mathematics, Kocaeli University) ;
  • Ulutas, Yucel Turker (Department of Mathematics, Kocaeli University)
  • Received : 2015.07.27
  • Accepted : 2015.12.10
  • Published : 2016.06.23
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Abstract

In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.

Keywords

References

  1. G. E. Andrews, R. Askey and R. Roy, Special functions, Cambridge University Press, 2000.
  2. M. D. Choi, Tricks or treats with the Hilbert matrix, Amer. Math. Monthly, 90(5)(1983), 301-312. https://doi.org/10.2307/2975779
  3. E. Kilic and H. Prodinger, Variants of the Filbert matrix, The Fibonacci Quarterly 51(2)(2013), 153-162.
  4. M. Petkovsek, H. Wilf and D. Zeilberger, A = B, A. K. Peters Ltd, 1996.
  5. H. Prodinger, The reciprocal super Catalan matrix, Spec. Matrices, 3(2015), 111-117.
  6. T. M. Richardson, The Filbert matrix, The Fibonacci Quarterly 39(3)(2001), 268-275.

Cited by

  1. generalization of the Filbert matrix and its Lucas analogue pp.1563-5139, 2019, https://doi.org/10.1080/03081087.2017.1412393
  2. New asymmetric generalizations of the Filbert and Lilbert matrices pp.1588-2829, 2018, https://doi.org/10.1007/s10998-018-0253-0